On the theory of regular piecewise-homogeneous structures with piezoceramic matrices (Q1821622)

A piecewise-homogeneous medium consisting of a piezoceramic matrix bonded by a doubly-periodic system of anisotropic fibres, dielectrics, is considered. The electroelasticity boundary value problems occurring here reduce to a system of Fredholm integral equations of the second kind whose solvability is proved. Concepts of mean mechanical and electrical quantities are introduced from energy considerations, between which a relationship is given by the equations of state of the structure macromodels. The algorithm constructed is realized numerically. Results are presented of computations of the average elastic, electrical, and piezoelectrical properties of the medium as a function of the cell microstructure.